Answer
See below.
Work Step by Step
$LHS=\frac{(cos^2\theta-sin^2\theta)^2}{(cos^2\theta+sin^2\theta)(cos^2\theta-sin^2\theta)}=\frac{cos^2\theta-sin^2\theta}{cos^2\theta+sin^2\theta}=cos^2\theta-sin^2\theta=1-2sin^2\theta=RHS$
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 7 - Analytic Trigonometry - 7.4 Trigonometric Identities - 7.4 Assess Your Understanding - Page 477: 87
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